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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 388 · 40 questions
TalentJR

How to think it through (Middle first): Put “both” in the overlap. Only A = A − both; only B = B − both; at least one = A + B − both. Neither = total − at least one; exactly one = only A + only B.

NameDateTime takenScore ___ / 40
  1. 1.In a group of 17 children, 6 play cricket, 8 play football and 3 play both. How many play only football?
  2. 2.In a group of 48 children, 22 play chess, 22 play carrom and 8 play both. How many play only carrom?
  3. 3.In a group of 40 children, 14 sing Hindi songs, 21 sing English songs and 7 sing both. How many sing only English songs?
  4. 4.In a group of 42 children, 14 play cricket, 25 play football and 11 play both. How many play exactly one of the two?
  5. 5.In a group of 45 children, 21 enjoy drawing, 20 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  6. 6.In a group of 32 children, 20 play cricket, 21 play football and 12 play both. How many play at least one of the two?
  7. 7.In a group of 36 children, 20 play chess, 16 play carrom and 6 play both. How many play only chess?
  8. 8.In a group of 42 children, 15 enjoy drawing, 25 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  9. 9.In a group of 40 children, 21 play cricket, 20 play football and 9 play both. How many play only cricket?
  10. 10.In a group of 43 children, 23 sing Hindi songs, 22 sing English songs and 4 sing both. How many sing only Hindi songs?
  11. 11.In a group of 51 children, 22 play chess, 25 play carrom and 11 play both. How many play at least one of the two?
  12. 12.In a group of 49 children, 20 like mangoes, 24 like bananas and 9 like both. How many like only bananas?
  13. 13.In a group of 20 grown-ups, 8 drink tea, 14 drink coffee and 4 drink both. How many drink neither of the two?
  14. 14.In a group of 45 grown-ups, 29 drink tea, 12 drink coffee and 9 drink both. How many drink only coffee?
  15. 15.In a group of 37 children, 29 enjoy drawing, 17 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
  16. 16.In a group of 42 children, 23 sing Hindi songs, 15 sing English songs and 3 sing both. How many sing neither of the two?
  17. 17.In a group of 57 children, 23 enjoy drawing, 32 enjoy dancing and 12 enjoy both. How many enjoy exactly one of the two?
  18. 18.In a group of 29 children, 12 play chess, 11 play carrom and 5 play both. How many play only carrom?
  19. 19.In a group of 38 children, 15 like mangoes, 29 like bananas and 12 like both. How many like only bananas?
  20. 20.In a group of 55 children, 31 play cricket, 29 play football and 11 play both. How many play only cricket?
  21. 21.In a group of 47 children, 27 play cricket, 13 play football and 8 play both. How many play exactly one of the two?
  22. 22.In a group of 41 grown-ups, 19 drink tea, 20 drink coffee and 11 drink both. How many drink only coffee?
  23. 23.In a group of 29 children, 13 play chess, 9 play carrom and 5 play both. How many play neither of the two?
  24. 24.In a group of 41 children, 12 play cricket, 25 play football and 6 play both. How many play at least one of the two?
  25. 25.In a group of 34 children, 20 play cricket, 12 play football and 3 play both. How many play only football?
  26. 26.In a group of 23 children, 14 play chess, 9 play carrom and 2 play both. How many play only carrom?
  27. 27.In a group of 34 children, 16 play chess, 21 play carrom and 8 play both. How many play only carrom?
  28. 28.In a group of 31 children, 24 play chess, 11 play carrom and 7 play both. How many play at least one of the two?
  29. 29.In a group of 44 children, 19 play chess, 16 play carrom and 3 play both. How many play neither of the two?
  30. 30.In a group of 40 children, 10 play cricket, 21 play football and 2 play both. How many play only cricket?
  31. 31.In a group of 37 grown-ups, 11 drink tea, 19 drink coffee and 8 drink both. How many drink only coffee?
  32. 32.In a group of 37 children, 17 sing Hindi songs, 19 sing English songs and 12 sing both. How many sing exactly one of the two?
  33. 33.In a group of 31 children, 15 sing Hindi songs, 9 sing English songs and 6 sing both. How many sing only Hindi songs?
  34. 34.In a group of 31 children, 20 enjoy drawing, 22 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  35. 35.In a group of 31 children, 8 like mangoes, 20 like bananas and 4 like both. How many like only bananas?
  36. 36.In a group of 58 children, 25 sing Hindi songs, 29 sing English songs and 9 sing both. How many sing neither of the two?
  37. 37.In a group of 41 grown-ups, 13 drink tea, 21 drink coffee and 3 drink both. How many drink only coffee?
  38. 38.In a group of 55 children, 27 play chess, 20 play carrom and 7 play both. How many play only carrom?
  39. 39.In a group of 38 children, 19 play cricket, 9 play football and 2 play both. How many play only football?
  40. 40.In a group of 48 grown-ups, 27 drink tea, 20 drink coffee and 8 drink both. How many drink only tea?

Answer key

  1. 5
  2. 14
  3. 14
  4. 17
  5. 12
  6. 29
  7. 14
  8. 14
  9. 12
  10. 19
  11. 36
  12. 15
  13. 2
  14. 3
  15. 2
  16. 7
  17. 31
  18. 6
  19. 17
  20. 20
  21. 24
  22. 9
  23. 12
  24. 31
  25. 9
  26. 7
  27. 13
  28. 28
  29. 12
  30. 8
  31. 11
  32. 12
  33. 9
  34. 8
  35. 16
  36. 13
  37. 18
  38. 13
  39. 7
  40. 19

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